12x^2=294

Solution for 12x^2=294 equation:

12x^2=294

We move all terms to the left:

12x^2-(294)=0

a = 12; b = 0; c = -294;
Δ = b2-4ac
Δ = 02-4·12·(-294)
Δ = 14112
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{14112}=\sqrt{7056*2}=\sqrt{7056}*\sqrt{2}=84\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84\sqrt{2}}{2*12}=\frac{0-84\sqrt{2}}{24}
=-\frac{84\sqrt{2}}{24}
=-\frac{7\sqrt{2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84\sqrt{2}}{2*12}=\frac{0+84\sqrt{2}}{24}
=\frac{84\sqrt{2}}{24}
=\frac{7\sqrt{2}}{2}
$